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Finding the Fourth Proportional to 319.26, 478.62 and 165.12

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Solution

The fourth proportional to 319.26, 478.62 and 165.12 is: 247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.26 : 478.62 = 165.12 : x
  2. Step 2: Convert to fraction form
    319.26/478.62 = 165.12/x
  3. Step 3: Cross multiply
    319.26x = 478.62 × 165.12
  4. Step 4: Simplify right side
    319.26x = 79,029.73
  5. Step 5: Solve for x
    x = 79,029.73/319.26
  6. Step 6: Final answer
    x = 247.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.